Question 628251: Can someone please help me to solve these radicals. I'm confused as to how these should be set-up.
I have a test that is coming up this Sunday and I need to know how to solve these type of Radical word problems. Can someone please help me with these questions and scenarios?
Note: For any decimal answers, please round to two decimal places.
If a satellite is orbiting earth, it’s distance from the center of earth is dependent upon it’s orbital velocity (speed at which it orbits the earth). The distance, r, that the satellite is from the center of the earth can be found using this equation: r=Kv^-2 for v , where K is a constant and v is the satellite’s orbital velocity.
1. Solve the equation for v. (Remember to use the negative exponent rule to write the expression with positive exponents before solving for v)
2. Suppose that a satellite orbiting at a velocity of 4.93 km/s has an altitude such that the distance from the center of the earth to the satellite is 16378 km. Find the value of K that makes the equation true.
3. Use the value of K you found in the previous problem to determine the altitude of a satellite orbiting at a velocity of 5.4 km/s
Note: The altitude of the satellite is its height above the surface of the earth. The radius (distance from the center to the surface) of the earth is 6378 km, you will need this number to find the altitude of the satellite once you have found a value for r.
4. Find the orbital velocity of a satellite with an altitude of 15,000 km above the surface of the earth.
[Be sure to calculate r before plugging it into the equation]
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! I hate to be the one to tell you but you are not going to pass your test. You have fewer than two days to learn the course material.
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